Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
<h3>Conditional probability</h3>
Probability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
<u>Determine P(AUB)</u>
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
Learn more on probability here: brainly.com/question/24756209
The extra amount that Mary would pay for apples under a monopoly instead of perfect competition is B. $3
<h3>Calculations and Parameters:</h3>
From the complete information,
There are images of the prices that can be gotten under a monopoly and the ones that can be gotten in a perfect competition by Mary.
The marginal cost which is graphed against the pound of apples and the price shows Mary would pay $15 and the marginal revenue shows that Mary would pay $12.
Hence, the difference between them, which is the extra amount to be paid would be $15-$12
=$3
Read more about perfect competition here:
brainly.com/question/3914700
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Answer:
-3 =x
Step-by-step explanation:
6x+18 = 5(3x+9)
Distribute the 5
6x+18 = 15x+45
Subtract 6x from each side
6x+18-6x =15x-6x +45
18 = 9x+45
Subtract 45 from each side
18-45 =9x+45-45
-27 = 9x
Divide by 9
-27/9 = 9x/9
-3 =x
V = s^3= 343 = 7×7×7
S = 7 cm
